Well, V4 has a lot of "fake" morphs that are not regular morphs but actually ERC -dial settings.

That could very well be the reason the transfer didn't work as expected.

Also a lot of V4 morphs are hidden by default, so perhaps the morphs did transfer, but the morphs were still hidden?

I guess the safest way with V4 is to first spawn a new full body morph of your character and then transfer THAT morph over instead of a gazillion of dial settings.

 

I'm pretty sure there are no such problems with V2, because all of her morphs are actual morphs and not ERC-settings.